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Abstract

Disclosed is a method for representing cellular structure, and detecting cells based on data structure of manifold solid models such as winged-edge structure. Cell structure is essential for [*], which is concerned with solid generation from orthographic views, and is realized based on non-manifold data structure. The method in this article makes it possible to realize the method in [*] based on existing data structure of manifold solid models.

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United States

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English (United States)

This text was extracted from an ASCII text file.

This is the abbreviated version, containing approximately
53% of the total text.

Method for Cell Detection Based on a Face-Set

Disclosed is
a method for representing cellular structure, and
detecting cells based on data structure of manifold solid models such
as winged-edge structure. Cell structure
is essential for [*], which
is concerned with solid generation from orthographic views, and is
realized based on non-manifold data structure.
The method in this
article makes it possible to realize the method in [*] based on
existing data structure of manifold solid models.

Fig. 1 shows
a cellular model. In this Figure, C1,
C2, and C3
shows cells. A cellular model are
represented by winged-edge
structure according to the following steps.
1.
Fig. 2(a) shows data to be
maintained by winged-edge
structure.
A lamina face can be represented
by regarding the
end-left-edge,
start-left-edge, and left-loop as
empty. Each face of a
cellular
model is represented as a lamina
face.
2.
Coincident edges are gathered and stored as a edge-set, such as
(e1, e2, e3}. The direction of each edge is compared with
the
one of e1, and edge-sets are
stored with signs, such as
{e1, -e2, e3}.
3.
Lamina faces which share an edge, as shown in Fig. 3, are
sorted
around their common edge, and stored
with signs. When the
normal
of a face is counter-clockwise
around the direction vector of
e1,
the sign of the face is positive,
and otherwise, the sign
becomes
negative. Faces in Fig. 3 are stored as {F1, -F2, -F3}.